2016261025560 has 256 divisors, whose sum is σ = 6739941312000. Its totient is φ = 536146490880.

The previous prime is 2016261025507. The next prime is 2016261025561. The reversal of 2016261025560 is 655201626102.

2016261025560 is a `hidden beast` number, since 2 + 0 + 1 + 62 + 6 + 10 + 25 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016261025561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704738530 + ... + 704741390.

It is an arithmetic number, because the mean of its divisors is an integer number (26327895750).

Almost surely, 2^{2016261025560} is an apocalyptic number.

2016261025560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016261025560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369970656000).

2016261025560 is an abundant number, since it is smaller than the sum of its proper divisors (4723680286440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2016261025560 is a wasteful number, since it uses less digits than its factorization.

2016261025560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2016261025560 in words is "two trillion, sixteen billion, two hundred sixty-one million, twenty-five thousand, five hundred sixty".